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Finding the Fourth Proportional to 1,847.80, 2,548.83 and 1,148.50

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Solution

The fourth proportional to 1,847.80, 2,548.83 and 1,148.50 is: 1,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.80 : 2,548.83 = 1,148.50 : x
  2. Step 2: Convert to fraction form
    1,847.80/2,548.83 = 1,148.50/x
  3. Step 3: Cross multiply
    1,847.80x = 2,548.83 × 1,148.50
  4. Step 4: Simplify right side
    1,847.80x = 2,927,331.26
  5. Step 5: Solve for x
    x = 2,927,331.26/1,847.80
  6. Step 6: Final answer
    x = 1,584.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.